They're afraid that some women may change their minds. Always remember - - it's all about the money. If Wal-Mart suffers a 3% decline in sales, believe me, that is huge. Same idea with the Planned Parenthood abortion industry. If 3 out of every 100 women change their minds, that's quite a financial loss for those animals.
As long as the lawmakers emphasize the biological unique DNA and don't make this law an intent to inject religion (failing the purpose prong of the SC Lemon Test) it should be fine.
This is why all of these evil groups are so shrill about defending abortion.